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Finding the Fourth Proportional to 767.39, 1,150.37 and 280.33

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Solution

The fourth proportional to 767.39, 1,150.37 and 280.33 is: 420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.39 : 1,150.37 = 280.33 : x
  2. Step 2: Convert to fraction form
    767.39/1,150.37 = 280.33/x
  3. Step 3: Cross multiply
    767.39x = 1,150.37 × 280.33
  4. Step 4: Simplify right side
    767.39x = 322,476.07
  5. Step 5: Solve for x
    x = 322,476.07/767.39
  6. Step 6: Final answer
    x = 420.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.